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What is GCF of 200, 100 | GCD, HCF | prime, common factors

Prime Factorization Method

There are multiple ways to find the greatest common factor of given integers. One of these involves computing the prime factorizations of each integer, determining which factors they have in common, and multiplying these factors to find the GCD.

Find the prime factorization of each number:

200 = 2, 2, 2, 5, 5

100 = 2, 2, 5, 5

Identify the common prime factors between 200 and 100: 2, 2, 5, 5
To find GCF multiply the common prime factors: GCF(200, 100) = 100

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Listing All Common Factors Method

To find the Greatest Common Factor (GCF) of 200 and 100 by listing all common factors, follow these steps:

List all factors of each number:
- Factors of 200: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
- Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
Identify the common factors of 200 and 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
Determine the greatest common factor:
- The greatest common factor is the largest number in the list of common factors, i.e. 100

So, the Greatest Common Factor (GCF) of 200 and 100 is 100.

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What is the GCF of 200 and 100? The answer is 100. Find GCD/HCF using prime, common factors, video tutorial & instructions for each step.

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What is the GCF of 200 and 100?

Answer: The GCF of 200 and 100 is 100

Prime Factorization Method

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Listing All Common Factors Method

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